e^4x(4x+1)=0

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Solution for e^4x(4x+1)=0 equation:


Simplifying
e4x(4x + 1) = 0

Reorder the terms:
e4x(1 + 4x) = 0
(1 * e4x + 4x * e4x) = 0
(1e4x + 4e4x2) = 0

Solving
1e4x + 4e4x2 = 0

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'e4x'.
e4x(1 + 4x) = 0

Subproblem 1

Set the factor 'e4x' equal to zero and attempt to solve: Simplifying e4x = 0 Solving e4x = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e4x = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + 4x)' equal to zero and attempt to solve: Simplifying 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Add '-4x' to each side of the equation. 4x + -4x = -1 + -4x Combine like terms: 4x + -4x = 0 0 = -1 + -4x Simplifying 0 = -1 + -4x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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